Velocity to Work Calculator
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Work From Velocity Formula
The formula used to calculate the Work From Velocity is:
\[ W = \frac{1}{2} m \cdot \Delta V^2 \]
Where:
- \(W\) is the Work From Velocity (Joules)
- \(m\) is the mass (kg)
- \(\Delta V\) is the change in velocity (m/s)
How to Calculate Work From Velocity?
To calculate the Work From Velocity:
- Multiply the mass by the square of the change in velocity.
- Divide the result by 2.
Example Problems
Example 1:
Calculate the work done if a mass of 10 kg experiences a velocity change of 5 m/s.
\[ W = \frac{1}{2} \times 10 \, \text{kg} \times (5 \, \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 \, \text{Joules} \]
Example 2:
Determine the work if a mass of 2 kg undergoes a velocity change of 3 m/s.
\[ W = \frac{1}{2} \times 2 \, \text{kg} \times (3 \, \text{m/s})^2 = \frac{1}{2} \times 2 \times 9 = 9 \, \text{Joules} \]